{"paper":{"title":"Vacuum energy on orbifold factors of spheres","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J.S.Dowker, Peter Chang","submitted_at":"1992-10-02T09:35:00Z","abstract_excerpt":"The vacuum energy is calculated for a free, conformally-coupled scalar field on the orbifold space-time \\R$\\times \\S^2/\\Gamma$ where $\\Gamma$ is a finite subgroup of O(3) acting with fixed points. The energy vanishes when $\\Gamma$ is composed of pure rotations but not otherwise. It is shown on general grounds that the same conclusion holds for all even-dimensional factored spheres and the vacuum energies are given as generalised Bernoulli functions (i.e. Todd polynomials). The relevant $\\zeta$- functions are analysed in some detail and several identities are incidentally derived. The general d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9210013","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}